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On the Penrose inequality in anti-deSitter space
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For asymptotically flat spacetimes the Penrose inequality gives an initial data test for the weak cosmic censorship hypothesis. We give a formulation of this inequality for asymptotically anti-deSitter (AAdS) spacetimes, and show that the inequality holds for time asymmetric data in spherical symmetry. Our analysis is motivated by the constant-negative-spatial-curvature form of the AdS black hole metric.
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Holographic Time Crystals vs Penrose
In spherically symmetric Einstein-scalar gravity with conformally invariant boundary conditions, the AdS Penrose inequality holds exactly when a positive mass theorem holds, ruling out neutral, non-rotating holographi...
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